Pa2 3 Simplifying Algebraic Expressions

Ms. Dewey-Hoffman, 2009 2-3: Simplifying Algebraic Expressions

IDing Parts of an Algebraic Expression Any thing separated by addition or subtraction is a TERM . A term that has NO variable is a CONSTANT . Any number that multiplies a variable is a COEFFICIENT . 7a 4a 3b 6 + + - 7a 4a 3b 6 + + - 7 a 4 a 3 b 6 + + -

Parts of an Algebraic Expression/ Combining Like Terms Terms that have identical variables and exponents are LIKE TERMS . To SIMPLIFY Expressions with Like Terms, add or subtract them. If there are NO Like Terms, then you cannot simplify any more. 7a 4a 3b 6 + + - 8c ² 4a -2c³ 9 + + +

Name the coefficients, like terms and constants.
There are 3 things they want from you, so get all 3!!!
6 + 2s + 4s
Coefficients: 2 and 4
Like Terms: 2s and 4s
Constants: 6
9m + 2r – 2m + r
Coefficients: 9, 2, and –2
Like Terms: 9m and –2m
Constants: none

Like Terms and the Distributive Property
Simplify 5y + y =
= 5y + 1y  Identity Property of Multiplication
= (5 + 1)y  Distributive Property: Pull out Pikachu.
= (6)y  Simplify: PEMDAS
= 6y  Can’t simplify more because x is unknown.
Simplify:
-4m – 9m
p + 6p – 4p

Evaluate. Justify each step .
6y + 4m – 7y + m =
= 6y + 4m + (-7y) + m  Turn Subt. Into Addition.
= 6y + (-7y) + 4m + m  Comm. Prop of Addition.
= -1y + 5m  Simplify, Combine Like Terms
= -y + 5m
These are the steps for Justifying. 7r + 6t – 3r – 13t =

#17
Page 80: 4-32 all.
Be sure to read the directions! If they ask you to justify each step then show each step and why you did it!

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Pa2 3 Simplifying Algebraic Expressions

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